a) The step function seen in the figure has 6 pieces, one for each step
b) There are 6 intervals, one for each piece. Their values are:
(0, 1]
(1, 2]
(2, 3]
(3, 4]
(4, 5]
(5, 6]
c) The open circles indicate that the endpoint is not included in the interval. The closed circles indicate the endpoint is included in the interval.
For example, in the second interval, 1 is not included (open circle) and 2 is included (closed circle).
d) This is a function because for eac value of x there iss one and only one of y. If the open circles were closed circles, then thi wouldnot be a function.
e) All the pieces are linear because their graph is a line (flat horizontal line)
f) The range of the function is the set of output values:
Range = {46, 48, 50, 32, 54, 56}
Answer: 21.6 m
Step-by-step explanation:
Given
A football field measures
If a football field similar in shape to a full size has a length
The ratio of the length of the original to the small field is the same
Assume the width of the small field is w
Thus, the width of the field is 21.6 m
Answer:
The value that must be added to both sides of the equation is 9/64
Step-by-step explanation:
we have
Divide the term -3/4 by 2
squared the term (-3/8)
Adds the term 9/64 both sides of the equation
Rewrite as perfect square
therefore
The value that must be added to both sides of the equation is 9/64
Answer:
B)
Step-by-step explanation:
Why A Doesn't Work:
y=mx+b is a linear equation.
y=2x, y=2x+0 which is a linear equation.
Why C doesn't work:
Anything with x² in it is a parabola. <em>Anything. </em>
4x² is a parabola, not an exponential equation.
Check for yourself on Desmos.
Why D doesn't work:
2(0.5)x
2(0.5) = 1
(1)x = 1x
y=1x, y = 1x+0 = <u><em>LINEAR </em></u>
Why B Works:
I do not understand what B is supposed to be, but I suppose it is correct by using the process of elimination.
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<u><em>Hope this helps :)</em></u>
<u><em>-</em></u><u><em>jp524</em></u>